(8-u)(4u-6)=0

Solution for (8-u)(4u-6)=0 equation:

Simplifying
(8 + -1u)(4u + -6) = 0

Reorder the terms:
(8 + -1u)(-6 + 4u) = 0

Multiply (8 + -1u) * (-6 + 4u)
(8(-6 + 4u) + -1u * (-6 + 4u)) = 0
((-6 * 8 + 4u * 8) + -1u * (-6 + 4u)) = 0
((-48 + 32u) + -1u * (-6 + 4u)) = 0
(-48 + 32u + (-6 * -1u + 4u * -1u)) = 0
(-48 + 32u + (6u + -4u2)) = 0

Combine like terms: 32u + 6u = 38u
(-48 + 38u + -4u2) = 0

Solving
-48 + 38u + -4u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 19u + -2u2) = 0

Factor a trinomial.
2((-8 + u)(3 + -2u)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-8 + u)' equal to zero and attempt to solve:

Simplifying
-8 + u = 0

Solving
-8 + u = 0

Move all terms containing u to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + u = 0 + 8

Combine like terms: -8 + 8 = 0
0 + u = 0 + 8
u = 0 + 8

Combine like terms: 0 + 8 = 8
u = 8

Simplifying
u = 8
Subproblem 2
Set the factor '(3 + -2u)' equal to zero and attempt to solve:

Simplifying
3 + -2u = 0

Solving
3 + -2u = 0

Move all terms containing u to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -2u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2u = 0 + -3
-2u = 0 + -3

Combine like terms: 0 + -3 = -3
-2u = -3

Divide each side by '-2'.
u = 1.5

Simplifying
u = 1.5
Solution
u = {8, 1.5}